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Iterative Solution Methods

Martin Burger, Barbara Kaltenbacher and Andreas Neubauer
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Martin Burger: University of Mainz
Barbara Kaltenbacher: University of Graz
Andreas Neubauer: Karlsruhe Institute of Technology (KIT)

Chapter 9 in Handbook of Mathematical Methods in Imaging, 2011, pp 345-384 from Springer

Abstract: Abstract This chapter deals with iterative methods for nonlinear ill-posed problems. We present gradient and Newton type methods as well as nonstandard iterative algorithms such as Kaczmarz, expectation maximization, and Bregman iterations.Our intention here is to cite convergence results in the sense of regularization and to provide further references to the literature.

Keywords: Discrepancy Principle; Newton Method; Source Condition; Leibler Divergence; Newton Type Method (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1007/978-0-387-92920-0_9

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